write an equation in slope-intercept form of the line that passes through the points (1,2) and (-2,-1)

An equation in slope-intercept form of the line that passes through the points (1,2) and (-2,-1) will be:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the points

Finding the slope between (1,2) and (-2,-1)

substituting m = 1 and (1, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx+b

2 = 1(1) + b

2 = 1+b

b = 2-1

b = 1

substituting m = 1 and b = 1 in the slope-intercept form of the line equation

y = mx+b

y = 1(x) + 1

y = x+1

Therefore, an equation in slope-intercept form of the line that passes through the points (1,2) and (-2,-1) will be:

the answer is b